Spoon ice cream into large bowl. Let stand 10 minutes to soften slightly. Meanwhile, using flat side of meat mallet or a rolling pin, crush frozen Twix bars. Stir into ice cream; return to freezer until ready to use.

Spread marshmallow creme on flat sides of half of the cookies; place, creme side up, on a shallow baking pan. Using a small ice cream scoop, place some ice cream mixture onto flat sides of remaining cookies. Place on same baking pan, ice cream side up. Loosely cover and freeze for 2 hours or until firm.

Gently sandwich cookies together. Serve immediately or wrap each sandwich in plastic wrap and freeze in freezer container for up to 1 month. Makes about 14 sandwiches.